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algebra's Issues

Semiring incorrect, needs to be re-designed

With the current definition of Semiring, that is:

protocol Semiring: Multiplicative, Additive { }

There is no notion of defining a separate plus and times, as Multiplicative and Additive both inherit from Semigroup and Magma and so only have a single <> operation defined on them.

I propose we rename Additive -> Monoid and make Multiplicative use a new operator for the times operation. We can alias <+> to <> as in the Haskell Semiring package.
Since <.> can't be defined in Swift (what's used in Haskell's Semiring) and <*> is apply, maybe we use <**>?

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